the art of problem solving introduction to geometry pdf

• SPECIAL EDITION ABACUS
• Current RS2 User
• Individual Items
• Online Classes
• RightStart™ E-Books
• Art of Problem Solving
• Jacob's
• Homeschool Planet Lesson Plans
• Tutor Topics
• Supplements & Games
• Placement Test
• Central African CFA Franc
• West African CFA Franc
• Compare ( )
• Sign in or Register

• Home School
• High School

Art of Problem Solving Introduction to Geometry

Write a review.

• Create New Wish List
• Description

Learn the fundamentals of geometry from former USA Mathematical Olympiad winner Richard Rusczyk. Topics covered in the book include similar triangles, congruent triangles, quadrilaterals, polygons, circles, funky areas, power of a point, three-dimensional geometry, transformations, and much more.  

The text is structured to inspire the reader to explore and develop new ideas. Each section starts with problems, so the student has a chance to solve them without help before proceeding. The text then includes solutions to these problems, through which geometric techniques are taught. Important facts and powerful problem solving approaches are highlighted throughout the text. In addition to the instructional material, the book contains over 900 problems. The solutions manual contains full solutions to all of the problems, not just answers.  

This book can serve as a complete geometry course, and is ideal for students who have mastered basic algebra, such as solving linear equations. Middle school students preparing for MATHCOUNTS, high school students preparing for the AMC, and other students seeking to master the fundamentals of geometry will find this book an instrumental part of their mathematics libraries.

This set includes both the lessons and solutions manuals.

Related Products

Art of Problem Solving Introduction to Algebra

Art of Problem Solving Calculus

Art of Problem Solving Precalculus

Art of Problem Solving Intermediate Algebra

Geometry Reflector

The Geometry Reflector is used to explore reflections, congruence, and symmetry. It measures 3-3/4"

• Summer Reading
• Home Schooling
• Christian Books
• Fiction & Literature
• Everyday Life
• Just for Fun

Art of Problem Solving Introduction to Geometry - Text & Solutions

Read our honest review of The Art of Problem Solving.

Learn the fundamentals of geometry from former USA Mathematical Olympiad winner Richard Rusczyk. Topics covered in the book include similar triangles, congruent triangles, quadrilaterals, polygons, circles, funky areas, power of a point, three-dimensional geometry, transformations, and much more.

The text is structured to inspire the reader to explore and develop new ideas. Each section starts with problems, so the student has a chance to solve them without help before proceeding. The text then includes solutions to these problems, through which geometric techniques are taught. Important facts and powerful problem solving approaches are highlighted throughout the text. In addition to the instructional material, the book contains over 900 problems. The solutions manual contains full solutions to all of the problems, not just answers.

This book can serve as a complete geometry course, and is ideal for students who have mastered basic algebra, such as solving linear equations. Middle school students preparing for MATHCOUNTS, high school students preparing for the AMC, and other students seeking to master the fundamentals of geometry will find this book an instrumental part of their mathematics libraries.

• Fiction & Literature
• Store Policies
• Terms & Conditions
• Security & Privacy Policies

Hours & Directions

Learn more about our store location and hours

[email protected]

19146 Molalla Ave, Oregon City, OR 97045

• Business & Money
• Management & Leadership

Sorry, there was a problem.

Download the free Kindle app and start reading Kindle books instantly on your smartphone, tablet, or computer - no Kindle device required .

Read instantly on your browser with Kindle for Web.

Using your mobile phone camera - scan the code below and download the Kindle app.

Image Unavailable

• To view this video download Flash Player

Follow the author

Art of Problem Solving Introduction to Geometry Textbook and Solutions Manual 2-Book Set Paperback – January 1, 1965

• Language English
• Publisher Art of Problem Solving
• Publication date January 1, 1965
• See all details

Product details

• ASIN ‏ : ‎ B0083C89NW
• Publisher ‏ : ‎ Art of Problem Solving (January 1, 1965)
• Language ‏ : ‎ English
• Item Weight ‏ : ‎ 4.24 pounds
• #411 in Decision-Making & Problem Solving

About the author

Richard rusczyk.

Richard Rusczyk founded Art of Problem Solving (AoPS) in 2003 to create interactive educational opportunities for avid math students. Richard is one of the co-authors of the Art of Problem Solving classic textbooks, author of Art of Problem Solving's Introduction to Algebra, Introduction to Geometry, and Precalculus textbooks, co-author of Art of Problem Solving's Intermediate Algebra and Prealgebra, one of the co-creators of the Mandelbrot Competition, and a past Director of the USA Mathematical Talent Search. He was a participant in National MATHCOUNTS, a three-time participant in the Math Olympiad Summer Program, and a USA Mathematical Olympiad winner (1989). He graduated from Princeton University in 1993, and worked as a bond trader for D.E. Shaw & Company for four years. AoPS marks Richard's return to his vocation: educating motivated students.

Customer reviews

• 5 star 4 star 3 star 2 star 1 star 5 star 84% 9% 3% 1% 3% 84%
• 5 star 4 star 3 star 2 star 1 star 4 star 84% 9% 3% 1% 3% 9%
• 5 star 4 star 3 star 2 star 1 star 3 star 84% 9% 3% 1% 3% 3%
• 5 star 4 star 3 star 2 star 1 star 2 star 84% 9% 3% 1% 3% 1%
• 5 star 4 star 3 star 2 star 1 star 1 star 84% 9% 3% 1% 3% 3%

Customer Reviews, including Product Star Ratings help customers to learn more about the product and decide whether it is the right product for them.

To calculate the overall star rating and percentage breakdown by star, we don’t use a simple average. Instead, our system considers things like how recent a review is and if the reviewer bought the item on Amazon. It also analyzed reviews to verify trustworthiness.

Customers say

Customers find the writing quality well-written, interesting, and painstakingly presented. They say the book teaches geometry concepts and is useful for both classroom and self-study. Readers also mention it's a great boost for preparing for competitions.

AI-generated from the text of customer reviews

Customers find the writing quality of the book well-written, interesting, and painstakingly presented. They say it gets right to the point and is not unnecessarily wordy. Readers also appreciate the great amounts of thought, time, effort, and even love for both the student and the author.

"...Gets right to the point, not unnecessarily wordy … On the other hand, perhaps not the right choice for people who only want to learn geometry for..." Read more

"...Most such books are plodding and dull; this one is lively and clever ...." Read more

"... Painstakingly presented with small steps leading gradually from initial to more advanced concepts, making this series very useful for both classroom..." Read more

"...I will be becoming a math teacher, and I love the structure of this book ...." Read more

Customers find the book useful for both classroom and self-study. They say it makes geometry easy to understand and is a great boost for preparing for competitions.

"...from initial to more advanced concepts, making this series very useful for both classroom and self-study...." Read more

"...needs to know about geometric things, and is also a great boost for preparing for competitions ." Read more

"This book has taught my son much about geometry . I highly recommend this book to anyone studying for the SHSAT." Read more

"This book makes geometry easy to understand ...." Read more

• Sort reviews by Top reviews Most recent Top reviews

Top reviews from the United States

There was a problem filtering reviews right now. please try again later..

Top reviews from other countries

• About Amazon
• Investor Relations
• Amazon Devices
• Amazon Science
• Sell products on Amazon
• Sell on Amazon Business
• Sell apps on Amazon
• Become an Affiliate
• Advertise Your Products
• Self-Publish with Us
• Host an Amazon Hub
• › See More Make Money with Us
• Amazon Business Card
• Shop with Points
• Reload Your Balance
• Amazon Currency Converter
• Amazon and COVID-19
• Your Account
• Your Orders
• Shipping Rates & Policies
• Returns & Replacements
• Manage Your Content and Devices

• Conditions of Use
• Privacy Notice
• Consumer Health Data Privacy Disclosure
• Your Ads Privacy Choices

Need more information about an AoPS Academy course?

Ask AoPS Academy!

Academic Year Mathematics

Geometry introduces students to spatial thinking. Students learn to dissect complex geometrical configurations, applying what they’ve learned to arrive at key insights and novel understandings. Geometry problems are also tackled analytically by placing them on the Cartesian plane. In addition, we build the foundations for precalculus and calculus by introducing students to trigonometry. Many of the challenging problems from this course come from contests such as MATHCOUNTS, AMC 10, and AMC 12, with a few problems coming from even more advanced contests to stretch the strongest students.

Homework and exams

Students should expect to spend 1-3 hours on homework every week. Homework will be assigned and completed through the class website, where students receive immediate feedback on their work. Students will take three in-class exams throughout the course.

The textbook for the course is Introduction to Geometry by Art of Problem Solving.

Hardcopy and lifetime digital access to the online version of the textbook are included in the tuition and fees of this course.

Sample Problems

Below are examples of some of the types of problems that students will encounter in our Geometry course.

Virtual Campus Schedule

Fremont, CA Campus Schedule

Irvine, CA Campus Schedule

Mountain View, CA Campus Schedule

Pleasanton, CA Campus Schedule

San Diego, CA Campus Schedule

Santa Clara, CA Campus Schedule

Lexington, MA Campus Schedule

Gaithersburg, MD Campus Schedule

Morrisville, NC Campus Schedule

Princeton, NJ Campus Schedule

Millburn, NJ Campus Schedule

Frisco, TX Campus Schedule

Vienna, VA Campus Schedule

Bellevue, WA Campus Schedule

Redmond, WA Campus Schedule

Virtual Campus

Massachusetts, north carolina.

Our family regularly talks about AoPS. We try to think about how our life would be different without you all. What if my daughter hadn't learned to love math? What if she never experienced being pushed to her limits? Overcoming failure? She wouldn't be who she is. And she is AWESOME! A very proud mom here. We are so fortunate that we found AoPS Academy. I credit AoPS for much of her confidence.

AoPS Academy parent to 16-year-old engineering major at UW and future cancer researcher

Instructor To Be Announced

We have not yet announced an instructor for this class, but we are working on it! It can take time to match all of our classes to our instructors' daily schedules. However, all AoPS instructors are exceptional educators, and each section of this course will cover the same basic material. Students can confidently enroll in this class and expect that one of our outstanding instructors will be assigned soon.

Ask AoPS Academy

I have a question about:

Your information will be used in accordance with our Privacy Policy .